Unlike most of her missives, her latest Twitter rant -- this one claiming that Dave Grohl hit on her teenage daughter -- has not gone ignored by Frances Bean Cobain, the alleged object of the Foo Fighter's affection.

"While I'm generally silent on the affairs of my biological mother, her recent tirade has taken a gross turn," Frances said in a statement to E! News. "I have never been approached by Dave Grohl in more than a platonic way. I'm in a monogamous relationship and very happy.

"Twitter should ban my mother."

As of press time, that hadn't happened.

But Grohl, too, had swatted away Love's tweets, including the comment, "I'm not mad at [Frances], him I am about to shoot, dead."

"Unfortunately Courtney is on another hateful Twitter rant," Grohl said in a statement. "These new accusations are upsetting, offensive and absolutely untrue."

Love tweeted last night from her locked-and-private Twitter account, @Cbabymichelle, that she heard Grohl "had his hands all over" her daughter and was "OBSESSED" with his late bandmate's family. (Gawker posted screengrabs of the NSFW rant.)